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Create binary_search.py#733

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39 changes: 39 additions & 0 deletionsPython/binary_search.py
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Original file line numberDiff line numberDiff line change
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# Python 3 program for recursive binary search.
# Modifications needed for the older Python 2 are found in comments.

# Returns index of x in arr if present, else -1
def binary_search(arr, low, high, x):

# Check base case
if high >= low:

mid = (high + low) // 2

# If element is present at the middle itself
if arr[mid] == x:
return mid

# If element is smaller than mid, then it can only
# be present in left subarray
elif arr[mid] > x:
return binary_search(arr, low, mid - 1, x)

# Else the element can only be present in right subarray
else:
return binary_search(arr, mid + 1, high, x)

else:
# Element is not present in the array
return -1

# Test array
arr = [ 2, 3, 4, 10, 40 ]
x = 10

# Function call
result = binary_search(arr, 0, len(arr)-1, x)

if result != -1:
print("Element is present at index", str(result))
else:
print("Element is not present in array")

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